Register to reply

Need help with integrals from Landau-Lifshitz vol. 1 problems

by JevKus
Tags: calculus, integrals
Share this thread:
Mar11-12, 09:17 AM
P: 2

I'm new to this forum and forums in general, so please be forgiving.

I am currently going through problems in Landau-Lifgarbagez's vol. 1 (Mechanics) and encountered two integrals I can't solve. The physical basis of the problem is crystal clear, but I can't do the final computation. The integrals are from problem 2 (b,c) par. 11. Mathematica spits out correct answers, so I won't post the full problem and will only post integrals I'm having problems with.

The first one is:
[itex]\int_{1}^{a}\frac{dz}{z \sqrt{z^{2} - 1}\sqrt{a^{2} - z^{2}}}[/itex];

here [itex]z[/itex] and [itex]a>1[/itex] are assumed to be real.

The other one is:
[itex]\int_{0}^{a}\frac{dz}{(1 + z^{2})\sqrt{a^{2} - z^{2}}}[/itex].

[itex]z[/itex] and [itex]a[/itex] are also assumed to be real.

Thank you!
Phys.Org News Partner Science news on
Wildfires and other burns play bigger role in climate change, professor finds
SR Labs research to expose BadUSB next week in Vegas
New study advances 'DNA revolution,' tells butterflies' evolutionary history

Register to reply

Related Discussions
Is it worth going through all of Landau-Lifshitz? Science & Math Textbooks 2
Landau and Lifshitz Course - any particular order? Science & Math Textbooks 4
Landau Lifshitz Course of Theoretial Physics Science & Math Textbooks 2
Landau lifshitz Science & Math Textbooks 10